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Original Articles

Eigenfunction and harmonic function estimates in domains with horns and cusps

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Pages 1805-1836 | Published online: 14 May 2007

References

  • Banuelos R. Sharp L2 bounds for eigenfunctions in intrinsically ultracontrative simply connected planar domains J. Diff. Equations
  • Banuelos , R. 1991 . Intrinsic ultracontractivity and eigenfunction estimates for Schrodinger operators . J. Func. Anal , 100 : 181 – 206 .
  • Banuelos , R. and VandenBerg , M. 1996 . Dirichlet eigenfunctions for horn—shaped regions and Laplacians on cross sections . J.London Math.Soc , 53 : 503 – 511 .
  • Banuelos , R. and Davis , B. 1992 . Sharp estimates for Dirichlet eigenfunctions in horn-shaped regions . Comm. Math. Phys , 150 : 209 – 215 .
  • Davis , E.B and Simon , B. 1984 . Ultracontractivity and the heat kernel for Schrodinger operators and Dirichlet Laplacians . J. Func. Anal , 59 : 335 – 395 .
  • Gidas , B. and Ni , W.M. 1979 . Symmetry and related properties via the maximum principle . Comm. Math. Phys , 68 : 209 – 249 .
  • Gilbarg , D. and Trudinger , N. 1983 . “ Elliptic Partial Differential Equations of Second Order ” . Springer—Verlag .
  • Lindemann A. II Pang M. Zhao Z. Ground state eigenfunctions of domains with outward pointing cusps
  • Wei—Ming Ni . 1982 . On the elliptic equation its generalizations, and applications in geometry . Inidana Univ.Math.Journal , 31 : 493 – 529 .

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